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Simplifying -3a + -3(a + 4) = 12(a + 5) Reorder the terms: -3a + -3(4 + a) = 12(a + 5) -3a + (4 * -3 + a * -3) = 12(a + 5) -3a + (-12 + -3a) = 12(a + 5) Reorder the terms: -12 + -3a + -3a = 12(a + 5) Combine like terms: -3a + -3a = -6a -12 + -6a = 12(a + 5) Reorder the terms: -12 + -6a = 12(5 + a) -12 + -6a = (5 * 12 + a * 12) -12 + -6a = (60 + 12a) Solving -12 + -6a = 60 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. -12 + -6a + -12a = 60 + 12a + -12a Combine like terms: -6a + -12a = -18a -12 + -18a = 60 + 12a + -12a Combine like terms: 12a + -12a = 0 -12 + -18a = 60 + 0 -12 + -18a = 60 Add '12' to each side of the equation. -12 + 12 + -18a = 60 + 12 Combine like terms: -12 + 12 = 0 0 + -18a = 60 + 12 -18a = 60 + 12 Combine like terms: 60 + 12 = 72 -18a = 72 Divide each side by '-18'. a = -4 Simplifying a = -4
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